We argue that off-shell Higgs decay channel
\(H^*\rightarrow ZZ \rightarrow 4\)  leptons
provides rich of phenomenological investigations.
In Ref.[1]}, examining the tail of
off-shell Higgs decay mode \(H^*\rightarrow Z_LZ_L\) ,
one can test the unitarity of the SM and explore
new physics through high energy behavior.
Searching for new physics
through off-shell Higgs decay
\(H^*\rightarrow ZZ \rightarrow l^+l^-\nu _l\bar{\nu }_l\) 
has been studied in Ref.[2]}
in which the authors have considered
the effective theory by proposing the energy-dependence
operators. Off-Shell Higgs decays as a probe of naturalness
have been discussed in Ref.[3]}
and as a probe of the trilinear Higgs coupling
have been reported in Ref.[4]}.
Through the examination of the decay channel
\(H \rightarrow ZZ^* \rightarrow 4\) 
leptons at the LHC,
the authors in Ref. [5]}
have been studied
the effects of the CP-conserving
and CP-violating of the
general \(HZZ\)  coupling.
Other phenomenological studies of
off-shell Higgs decay in many of BSMs
have been found in Refs.[6]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}.
